Article citationsMore>>

Beer, G., Smith, I.M. and Duenser, C. (2008) The Boundary Element Method with Programming for Engineering and Scientists. Springer Wien, New York.

has been cited by the following article:

• TITLE: Integrated and Explicit Boundary Conditions of Electromagnetic Fields at Arbitrary Interfaces between Two Anisotropic Media

  AUTHORS: Bing Zhou, Graham Heinson, Aixa Rivera-Rios

  KEYWORDS: Electromagnetic Theory, Electromagnetism, Boubdary Condition, Electric Anisotropy

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.7 No.3, March 19, 2015

  ABSTRACT: This paper derives two new integrated and explicit boundary conditions, named the “explicitnormal version” and “explicit tangential versions” respectively for electromagnetic fields at an arbitrary interface between two anisotropic media. The new versions combine two implicit boundary equations into a single explicit matrix formula and reveal the boundary values linked by a 3 × 3 matrix, which depends on the interface topography and model property tensors. We analytically demonstrate the new versions equivalent to the common implicit boundary conditions and their application to transformation of the boundary values in the boundary integral equations. We also give two synthetic examples that show recovery of the boundary values on a hill and a ridge, and highlight the advantage of the new versions of being a simpler and more straightforward method to compute the electromagnetic boundary values.